The paper describes the principle of operation of the joint modulation and coding structure with the use of ternary error-correction codes on each of the quadrature axes. A system with cascade decoding is chosen, which uses an external ternary code and an internal binary decoder. Reed-Solomon code is selected as the internal one, so both outputs of the ternary decoders are combined in a single input vector.
The ternary decoding is constructed in a cascade method, the code parameters are chosen so that 2 8-bit symbols are obtained at the output.
The calculation of the parameters for the signal-code construction is given. The ternary code was divided into an equilibrium and corrective code, for which the calculated bit error probability is given, taking into account the equating of these energy codes and frequency efficiency. The upper additive bound for the selected ternary code was obtained.
A comparison of the selected ternary code with another noise-proof code is given. For comparison, the Bose-Chaudhuri-Hocquenghem code was taken, since this code has the same block length and noise immunity in the Hamming metric. As a result of comparison, the coding rate of the ternary code is 30% higher.
A decoding scheme was developed for the equilibrium code using the second Chase algorithm. Based on this scheme, a simulation model of the decoder has been developed, in order to determine the probability of a block error. The probabilities obtained as a result of the simulation is consistent with upper additive boundary, which proof the reliability of the use of computational methods for quasi-correlation decoding methods.
The finalization of the calculated data taking into account the results of modeling and the correction for the power of the code is carried out. The bit error rate for the entire system is obtained, which indicates the possibility of reliable information transmission.